Optimal control problem governed by a highly nonlinear singular Volterra equation: Existence of solutions and maximum principle

DOI10.1002/oca.3057MaRDI QIDQ6139619

Dariusz Idczak

Publication date: 19 January 2024

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

zbMATH Keywords

maximum principleVolterra integral equationexistence of optimal solutionsextremum principleLagrange problemlower closure theoremfractional potentialimplicit function theorem for multivalued mappings

Mathematics Subject Classification ID

Volterra integral equations (45D05) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal control of impulsive Volterra equations with variable impulse times
• A generalized Gronwall inequality and its application to a fractional differential equation
• Existence of optimal control without convexity and a bang-bang theorem for linear Volterra equations
• An extremum principle for smooth problems
• Optimal control of Volterra equations with impulses
• A maximum principle for an optimal control problem with integral constraints
• A fractional multiterm Gronwall lemma and its application to the stability of fractional integrodifferential systems
• On the existence and uniqueness and formula for the solution of R-L fractional cauchy problem in ℝ n
• Pontryagin maximum principle for fractional ordinary optimal control problems
• Causal Feedback Optimal Control for Volterra Integral Equations
• Optimal Control of a Coercive Dirichlet Problem
• Some solvable cases of optimal control for Volterra integral systems
• Controlled Singular Volterra Integral Equations and Pontryagin Maximum Principle

This page was built for publication: Optimal control problem governed by a highly nonlinear singular Volterra equation: Existence of solutions and maximum principle